Magma V2.19-8 Tue Aug 20 2013 17:59:45 on localhost [Seed = 2968585285] Type ? for help. Type -D to quit. Loading file "10^2_81__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_81 geometric_solution 13.20617457 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 2 1 3 0132 0132 3012 0132 0 0 0 1 0 0 0 0 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 6 -6 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485586016222 0.973910689134 0 0 5 4 0132 1230 0132 0132 0 0 1 0 0 -1 0 1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -6 0 6 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424040805631 0.802812299541 4 0 5 4 0132 0132 3012 2031 0 0 1 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0 -5 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.589979114760 0.822354247370 6 7 0 4 0132 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 6 -5 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508149381834 0.674364832975 2 2 1 3 0132 1302 0132 2103 0 0 0 1 0 1 -1 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 -6 1 -5 0 0 5 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424040805631 0.802812299541 7 2 8 1 3120 1230 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.287291748741 0.945834823386 3 9 8 7 0132 0132 3120 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.463194127300 0.481007038868 6 3 10 5 3120 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 1 0 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.992650597676 0.805440800533 11 10 6 5 0132 2103 3120 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603228413216 0.660970370568 11 6 12 10 3120 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.146621382717 0.591305651066 9 8 13 7 3120 2103 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.007499438972 0.655102567917 8 12 13 9 0132 2103 3120 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.430011411056 0.856319339086 13 11 13 9 0132 2103 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 1 0 -1 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.600466816887 0.437162540782 12 12 11 10 0132 3201 3120 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 0 1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.139121943745 1.246408218982 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_13' : negation(d['c_0011_12']), 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : negation(d['c_1001_5']), 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_5']), 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : d['c_0011_10'], 'c_1010_13' : negation(d['c_0011_11']), 'c_1010_12' : d['c_0011_3'], 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : negation(d['c_1001_5']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_12'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : negation(d['c_0011_12']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : negation(d['c_0101_6']), 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_1001_5']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_13']), 'c_1100_10' : negation(d['c_0101_11']), 'c_1100_13' : negation(d['c_0101_11']), 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_1001_5'], 'c_1010_3' : negation(d['c_1001_5']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0011_5']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_1001_5'], 'c_1100_8' : negation(d['c_0101_6']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_12']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0101_7'], 'c_0110_13' : d['c_0011_12'], 'c_0110_12' : d['c_0101_13'], 's_0_13' : d['1'], 'c_0101_12' : d['c_0011_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_13'], 'c_0101_8' : d['c_0101_7'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_7'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_12']), 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1'], 'c_0101_13' : d['c_0101_13']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_11, c_0101_13, c_0101_2, c_0101_6, c_0101_7, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 542963094465/220010809154*c_0101_7^8 - 89455468240/110005404577*c_0101_7^7 + 2279106348488/110005404577*c_0101_7^6 + 1878096711085/220010809154*c_0101_7^5 + 4598213849555/110005404577*c_0101_7^4 + 5160442388766/110005404577*c_0101_7^3 + 1674843080726/110005404577*c_0101_7^2 - 3972188355787/220010809154*c_0101_7 - 1159901909439/220010809154, c_0011_0 - 1, c_0011_10 - 147960430/130803097*c_0101_7^8 + 13654165/130803097*c_0101_7^7 - 650034612/130803097*c_0101_7^6 - 209083293/130803097*c_0101_7^5 + 69605675/130803097*c_0101_7^4 + 286863727/130803097*c_0101_7^3 + 335836130/130803097*c_0101_7^2 + 627400807/130803097*c_0101_7 + 100616822/130803097, c_0011_11 + 388620/130803097*c_0101_7^8 - 16324850/130803097*c_0101_7^7 + 14338238/130803097*c_0101_7^6 - 85795874/130803097*c_0101_7^5 + 13141270/130803097*c_0101_7^4 + 945322/130803097*c_0101_7^3 - 56939803/130803097*c_0101_7^2 + 14499231/130803097*c_0101_7 + 96217151/130803097, c_0011_12 - 109028410/130803097*c_0101_7^8 - 16571600/130803097*c_0101_7^7 - 471372794/130803097*c_0101_7^6 - 257215988/130803097*c_0101_7^5 + 37295716/130803097*c_0101_7^4 + 231073017/130803097*c_0101_7^3 + 258310876/130803097*c_0101_7^2 + 429660471/130803097*c_0101_7 + 83988101/130803097, c_0011_3 + 986755/130803097*c_0101_7^8 + 23593925/130803097*c_0101_7^7 + 10338192/130803097*c_0101_7^6 + 104280779/130803097*c_0101_7^5 + 69169727/130803097*c_0101_7^4 + 36728447/130803097*c_0101_7^3 - 77198336/130803097*c_0101_7^2 - 12172683/130803097*c_0101_7 - 114054749/130803097, c_0011_5 + 172929730/130803097*c_0101_7^8 - 388620/130803097*c_0101_7^7 + 777215662/130803097*c_0101_7^6 + 296935276/130803097*c_0101_7^5 + 51209928/130803097*c_0101_7^4 - 324414784/130803097*c_0101_7^3 - 346804782/130803097*c_0101_7^2 - 869340052/130803097*c_0101_7 - 118257069/130803097, c_0101_0 + 1, c_0101_1 - 1, c_0101_11 - 986755/130803097*c_0101_7^8 - 23593925/130803097*c_0101_7^7 - 10338192/130803097*c_0101_7^6 - 104280779/130803097*c_0101_7^5 - 69169727/130803097*c_0101_7^4 - 36728447/130803097*c_0101_7^3 + 77198336/130803097*c_0101_7^2 + 12172683/130803097*c_0101_7 + 114054749/130803097, c_0101_13 - 388620/130803097*c_0101_7^8 + 16324850/130803097*c_0101_7^7 - 14338238/130803097*c_0101_7^6 + 85795874/130803097*c_0101_7^5 - 13141270/130803097*c_0101_7^4 - 945322/130803097*c_0101_7^3 + 56939803/130803097*c_0101_7^2 - 14499231/130803097*c_0101_7 - 96217151/130803097, c_0101_2 - 172929730/130803097*c_0101_7^8 + 388620/130803097*c_0101_7^7 - 777215662/130803097*c_0101_7^6 - 296935276/130803097*c_0101_7^5 - 51209928/130803097*c_0101_7^4 + 324414784/130803097*c_0101_7^3 + 346804782/130803097*c_0101_7^2 + 869340052/130803097*c_0101_7 - 12546028/130803097, c_0101_6 + 172929730/130803097*c_0101_7^8 - 388620/130803097*c_0101_7^7 + 777215662/130803097*c_0101_7^6 + 296935276/130803097*c_0101_7^5 + 51209928/130803097*c_0101_7^4 - 324414784/130803097*c_0101_7^3 - 346804782/130803097*c_0101_7^2 - 869340052/130803097*c_0101_7 - 118257069/130803097, c_0101_7^9 + 22/5*c_0101_7^7 + 9/5*c_0101_7^6 - 1/5*c_0101_7^5 - 9/5*c_0101_7^4 - 2*c_0101_7^3 - 23/5*c_0101_7^2 - 3/5*c_0101_7 - 1/5, c_1001_5 + 1 ], Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_11, c_0101_13, c_0101_2, c_0101_6, c_0101_7, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 236641105872116216/262977662998981875*c_0101_7^9 + 172735481070380219/525955325997963750*c_0101_7^8 - 137957619319727252/262977662998981875*c_0101_7^7 + 95526964321636978/262977662998981875*c_0101_7^6 - 531696858513443639/525955325997963750*c_0101_7^5 + 942594266987032409/262977662998981875*c_0101_7^4 - 61111677950766416/37568237571283125*c_0101_7^3 + 242464134717380998/262977662998981875*c_0101_7^2 - 3643278158033453/35063688399864250*c_0101_7 + 187963344986355637/75136475142566250, c_0011_0 - 1, c_0011_10 + 1099408479328/2862341910193*c_0101_7^9 + 318073596238/2862341910193*c_0101_7^8 - 1305789462069/2862341910193*c_0101_7^7 + 506064120528/2862341910193*c_0101_7^6 + 390631880857/2862341910193*c_0101_7^5 + 2190029905507/2862341910193*c_0101_7^4 + 882023668289/2862341910193*c_0101_7^3 - 5813929509062/2862341910193*c_0101_7^2 + 2247620601869/2862341910193*c_0101_7 + 1598236977878/2862341910193, c_0011_11 - 362182306752/2862341910193*c_0101_7^9 + 375374582580/2862341910193*c_0101_7^8 + 434638546534/2862341910193*c_0101_7^7 - 503323555966/2862341910193*c_0101_7^6 + 520411570454/2862341910193*c_0101_7^5 - 789157932030/2862341910193*c_0101_7^4 + 674349889738/2862341910193*c_0101_7^3 - 84740343455/2862341910193*c_0101_7^2 - 2534928931195/2862341910193*c_0101_7 + 665255343427/2862341910193, c_0011_12 + 539021780832/2862341910193*c_0101_7^9 + 39843052750/2862341910193*c_0101_7^8 - 958467542296/2862341910193*c_0101_7^7 - 389115859234/2862341910193*c_0101_7^6 + 409371760036/2862341910193*c_0101_7^5 + 993571309196/2862341910193*c_0101_7^4 + 345113628449/2862341910193*c_0101_7^3 - 2189472325472/2862341910193*c_0101_7^2 + 37647647895/2862341910193*c_0101_7 + 1922650492387/2862341910193, c_0011_3 + 432457199952/2862341910193*c_0101_7^9 - 369144470023/2862341910193*c_0101_7^8 - 269087033635/2862341910193*c_0101_7^7 + 212415335780/2862341910193*c_0101_7^6 - 239528960905/2862341910193*c_0101_7^5 + 1604704582321/2862341910193*c_0101_7^4 - 1878488443049/2862341910193*c_0101_7^3 - 1623730152048/2862341910193*c_0101_7^2 + 1787850291841/2862341910193*c_0101_7 - 1494964043135/2862341910193, c_0011_5 - 1673970717536/2862341910193*c_0101_7^9 - 160933542478/2862341910193*c_0101_7^8 + 1298596134956/2862341910193*c_0101_7^7 - 643884886226/2862341910193*c_0101_7^6 - 229038632956/2862341910193*c_0101_7^5 - 5019207873832/2862341910193*c_0101_7^4 + 266042082800/2862341910193*c_0101_7^3 + 5393793961330/2862341910193*c_0101_7^2 - 6857905190732/2862341910193*c_0101_7 - 1336128353107/2862341910193, c_0101_0 - 1, c_0101_1 - 1, c_0101_11 - 432457199952/2862341910193*c_0101_7^9 + 369144470023/2862341910193*c_0101_7^8 + 269087033635/2862341910193*c_0101_7^7 - 212415335780/2862341910193*c_0101_7^6 + 239528960905/2862341910193*c_0101_7^5 - 1604704582321/2862341910193*c_0101_7^4 + 1878488443049/2862341910193*c_0101_7^3 + 1623730152048/2862341910193*c_0101_7^2 - 1787850291841/2862341910193*c_0101_7 + 1494964043135/2862341910193, c_0101_13 + 362182306752/2862341910193*c_0101_7^9 - 375374582580/2862341910193*c_0101_7^8 - 434638546534/2862341910193*c_0101_7^7 + 503323555966/2862341910193*c_0101_7^6 - 520411570454/2862341910193*c_0101_7^5 + 789157932030/2862341910193*c_0101_7^4 - 674349889738/2862341910193*c_0101_7^3 + 84740343455/2862341910193*c_0101_7^2 + 2534928931195/2862341910193*c_0101_7 - 665255343427/2862341910193, c_0101_2 - 1673970717536/2862341910193*c_0101_7^9 - 160933542478/2862341910193*c_0101_7^8 + 1298596134956/2862341910193*c_0101_7^7 - 643884886226/2862341910193*c_0101_7^6 - 229038632956/2862341910193*c_0101_7^5 - 5019207873832/2862341910193*c_0101_7^4 + 266042082800/2862341910193*c_0101_7^3 + 5393793961330/2862341910193*c_0101_7^2 - 6857905190732/2862341910193*c_0101_7 - 4198470263300/2862341910193, c_0101_6 - 1673970717536/2862341910193*c_0101_7^9 - 160933542478/2862341910193*c_0101_7^8 + 1298596134956/2862341910193*c_0101_7^7 - 643884886226/2862341910193*c_0101_7^6 - 229038632956/2862341910193*c_0101_7^5 - 5019207873832/2862341910193*c_0101_7^4 + 266042082800/2862341910193*c_0101_7^3 + 5393793961330/2862341910193*c_0101_7^2 - 6857905190732/2862341910193*c_0101_7 - 1336128353107/2862341910193, c_0101_7^10 + 5/16*c_0101_7^9 - c_0101_7^8 + 1/8*c_0101_7^7 + 7/16*c_0101_7^6 + 43/16*c_0101_7^5 + 5/16*c_0101_7^4 - 29/8*c_0101_7^3 + 39/16*c_0101_7^2 + 37/16*c_0101_7 + 21/16, c_1001_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.490 seconds, Total memory usage: 32.09MB